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Analytic model of upper tropospheric clouds in the tropical Hadley cell

Abstract

We have developed a two-dimensional analytic model that describes the behavior of upper tropospheric clouds in the tropical Hadley cell. The behavior of the model is characterized by two dimensionless parameters: one is proportional to the temperature lapse rate, and the other is relevant to the initial altitude of the cloud particles. We derived analytic expressions for the motion and evaporation of the cloud particles and calculate various cloud properties, such as the cloudiness and the column water content. We found that the outflow from the convective regions spreads out and generates a cirrus layer whose coverage has a maximum at the tropopause: the cloudiness is as large as 0.5–1 in the vicinity of the tropopause for small cloud particles with radii of less than 5 μm. We suggest that the thin cirrus clouds observed near the tropopause in the tropic region are formed by the advection of cloud particles supplied from the ITCZ. Because of its simpleness, the present model may play a role in diagnosing cloud properties in climate models that are used to study climate changes over a long time span.

References

  • Betts, A. K. and W. Ridgway, Coupling of the radiative, convective, and surface fluxes over the equatorial Pacific, J. Atmos. Sci., 45, 522–536, 1988.

    Article  Google Scholar 

  • Comstock, J. M., T. P. Ackerman, and G. Mace, Ground-based lidar and radar remote sensing of tropical cirrus clouds at Nauru Island: cloud statistics and radiative impacts, J. Geophys. Res., 107(D23), 4714, 2002.

    Article  Google Scholar 

  • Danielsen, E. F., A dehydration mechanism for the stratosphere, Geophys. Res. Lett., 9, 605–608, 1982.

    Article  Google Scholar 

  • Folkins, I., M. Loewenstein, J. Podolske, S. J. Oltmans, and M. Proffitt, A barrier to vertical mixing at 14 km in the tropics: evidence from ozonesondes and aircraft measurements, J. Geophys. Res., 104, 22095–22102, 1999.

    Article  Google Scholar 

  • Gill, A. E., Some simple solutions for heat-induced tropical circulation, Quart. J. Roy. Meteorol. Soc., 106, 447–462, 1980.

    Article  Google Scholar 

  • Held, I. M. and A. Y. Hou, Nonlinear Axially Symmetric Circulations in a Nearly Inviscid Atmosphere, J. Atmos. Sci., 37, 515–533, 1980.

    Article  Google Scholar 

  • Held, I. M., R. S. Hemler, and V. Ramaswamy, Radiative-convective equilibrium with explicit two-dimensional moist convection, J. Atmos. Sci., 50, 3909–3927, 1993.

    Article  Google Scholar 

  • Heymsfield, A. J. and G. M. McFarquhar, Ice particles observed in a cirriform cloud at -83°C and implication for polar stratospheric clouds, J. Atmos. Sci., 43, 851–855, 1986.

    Article  Google Scholar 

  • Ichii, K., Y. Matsui, K. Murakami, T. Mukai, Y. Yamaguchi, and K. Ogawa, A simple global carbon and energy coupled cycle model for global warming simulation: sensitivity to the light saturation effect, Tellus, 55B, 676–691, 2003.

    Article  Google Scholar 

  • Iwasa, Y., Y. Abe, and H. Tanaka, Structure of the atmosphere in radiative-convective equilibrium, J. Atmos. Sci., 59, 2197–2226, 2002.

    Article  Google Scholar 

  • Jensen, E. J., O. B. Toon, H. B. Selkirk, J. D. Spinhirne, and M. R. Schoeberl, On the formation and persistence of subvisible cirrus clouds near the tropical tropopause, J. Geophys. Res., 101, 21,361–21,375, 1996.

    Article  Google Scholar 

  • Jensen, E. J., L. Pfister, A. S. Ackerman, O. B. Toon, and A. Tabazadeh, A conceptual model of the dehydration of air due to freeze-drying by optically thin, laminar cirrus rising slowly across the tropical tropopause, J. Geophys. Res., 106, 17,237–17,252, 2001.

    Article  Google Scholar 

  • Kummerow, C., W. Barnes, T. Kozu, J. Shiue, and J. Simpson, The tropical rainfall measuring mission (TRMM) sensor package, J. Atmos. Oceanic Technol., 15, 809–817, 1998.

    Article  Google Scholar 

  • Lenton, T. M., Land and ocean carbon cycle feedback effects on global warming in a simple Earth system model, Tellus, 52B, 1159–1188, 2000.

    Article  Google Scholar 

  • Lilly, D. K., Cirrus outflow dynamics, J. Atmos. Sci., 45, 1594–1605, 1988.

    Article  Google Scholar 

  • Luo, B. P., Th. Peter, H. Wernli, S. Fueglistaler, M. Wirth, C. Kiemle, H. Flentje, V. A. Yushkov, V. Khattatov, V. Rudakov, A. Thomas, S. Borrmann, G. Toci, P. Mazzinghi, J. Beuermann, C. Schiller, F. Cairo, G. Di Don-Francesco, A. Adriani, C. M. Volk, J. Strom, K. Noone, V. Mitev, R. A. Mackenzie, K. S. Carslaw, T. Trautmann, V. Santacesaria, and L. Stefanutti, Ultrathin tropical tropopause clouds (UTTCs): II. Stabilization mechanisms, Atmos. Chem. Phys., 3, 1093–1100, 2003.

    Article  Google Scholar 

  • McClatchey, R. A., R. W. Fenn, J. E. A. Selby, F. E. Volz, and J. S. Garing, Optical properties of the atmosphere, Report AFCRL 71 0279, Air Force Cambridge Research Lab., Bedford, Massachussetts, 1971.

    Google Scholar 

  • Nakajima, K. and T. Matsuno, Numerical experiments concerning the origin of cloud clusters in the tropical atmosphere, J. Meteor. Soc. Japan, 66, 309–329, 1988.

    Google Scholar 

  • Newell, R. E., J. W. Kidson, D. G. Vincent, and G. J. Boer, The general circulation of the tropical atmosphere and interactions with extratropical latitudes, Cambridge, 1972.

    Google Scholar 

  • Peter, Th., B. P. Luo, M. Wirth, C. Kiemle, H. Flentje, V. A. Yushkov, V. Khattatov, V. Rudakov, A. Thomas, S. Borrmann, G. Toci, P. Mazzinghi, J. Beuermann, C. Schiller, F. Cairo, G. Di Don-Francesco, A. Adriani, C. M. Volk, J. Strom, K. Noone, V. Mitev, R. A. Mackenzie, K. S. Carslaw, T. Trautmann, V. Santacesaria, and L. Stefanutti, Ultrathin tropical tropopause clouds (UTTCs): I. Cloud morphology and occurrence, Atmos. Chem. Phys., 3, 1083–1091, 2003.

    Article  Google Scholar 

  • Pruppacher, H. R. and J. D. Klett, Microphysics of clouds and precipitation, pp. 361–446, Kluwer academic publishers, Netherlands, 1977.

    Google Scholar 

  • Roewe, D. and K.-N. Liou, Influence of cirrus clouds on the infrared cooling rate in the troposphere and lower stratosphere, J. Appl. Meteor., 17, 92–106, 1978.

    Article  Google Scholar 

  • Sarachik, E. S., Tropical sea surface temperature: An interactive one-dimensional atmosphere ocean model, Dyn. Atmos. Oceans., 2, 455–469, 1978.

    Article  Google Scholar 

  • Satoh, M., Atmospheric circulation dynamics and general circulation models, 643 pp, Springer-Praxis, 2002.

    Google Scholar 

  • Sherwood, S. C., Maintenance of the free-tropospheric tropical water vapor distribution. Part I: Clear regime budget, J. Climate, 9, 2903–2918, 1996.

    Article  Google Scholar 

  • Sherwood, S. C. and A. E. Dessler, On the control of stratospheric humidity, Geophys. Res. Lett., 27, 2513–2516, 2000.

    Article  Google Scholar 

  • Sui, C. H., K. M. Lau, W. K. Tao, and J. Simpson, The tropical water and energy cycles in a cumulus ensemble model. Part I: Equilibrium climate, J. Atmos. Sci., 51, 711–728, 1994.

    Article  Google Scholar 

  • Wang, Pi-H., P. Minnis, M. P. McCormick, G. S. Kent, and K. M. Skeens, A 6-year climatology of cloud occurrence frequency from stratospheric aerosol and gas experiment II observations (1985–1990), J. Geophys. Res., 101, 29,407–29,429, 1996.

    Article  Google Scholar 

  • Warren, S. G., Optical constants of ice from the ultraviolet to the microwave, Appl. Optics., 23, 1206–1225, 1984.

    Article  Google Scholar 

  • Winker, D. M. and C. R. Trepte, Laminar cirrus observed near the tropical tropopause by LITE, Geophys. Res. Lett., 25, 3351–3354, 1998.

    Article  Google Scholar 

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Correspondence to Kyoko K. Tanaka.

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Tanaka, K.K., Yamamoto, T., Watanabe, Si. et al. Analytic model of upper tropospheric clouds in the tropical Hadley cell. Earth Planet Sp 60, 219–228 (2008). https://doi.org/10.1186/BF03352784

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  • DOI: https://doi.org/10.1186/BF03352784

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